[1] | 1 | MODULE diffusion_s_mod |
---|
| 2 | |
---|
| 3 | !------------------------------------------------------------------------------! |
---|
| 4 | ! Actual revisions: |
---|
| 5 | ! ----------------- |
---|
[20] | 6 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
---|
[19] | 7 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
---|
[20] | 8 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b, |
---|
[1] | 9 | ! |
---|
| 10 | ! Former revisions: |
---|
| 11 | ! ----------------- |
---|
[3] | 12 | ! $Id: diffusion_s.f90 20 2007-02-26 00:12:32Z raasch $ |
---|
| 13 | ! RCS Log replace by Id keyword, revision history cleaned up |
---|
| 14 | ! |
---|
[1] | 15 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
---|
| 16 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
---|
| 17 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
---|
| 18 | ! fluxes at vertically oriented topography |
---|
| 19 | ! |
---|
| 20 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
---|
| 21 | ! Initial revision |
---|
| 22 | ! |
---|
| 23 | ! |
---|
| 24 | ! Description: |
---|
| 25 | ! ------------ |
---|
| 26 | ! Diffusion term of scalar quantities (temperature and water content) |
---|
| 27 | !------------------------------------------------------------------------------! |
---|
| 28 | |
---|
| 29 | PRIVATE |
---|
| 30 | PUBLIC diffusion_s |
---|
| 31 | |
---|
| 32 | INTERFACE diffusion_s |
---|
| 33 | MODULE PROCEDURE diffusion_s |
---|
| 34 | MODULE PROCEDURE diffusion_s_ij |
---|
| 35 | END INTERFACE diffusion_s |
---|
| 36 | |
---|
| 37 | CONTAINS |
---|
| 38 | |
---|
| 39 | |
---|
| 40 | !------------------------------------------------------------------------------! |
---|
| 41 | ! Call for all grid points |
---|
| 42 | !------------------------------------------------------------------------------! |
---|
[19] | 43 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, tend ) |
---|
[1] | 44 | |
---|
| 45 | USE control_parameters |
---|
| 46 | USE grid_variables |
---|
| 47 | USE indices |
---|
| 48 | |
---|
| 49 | IMPLICIT NONE |
---|
| 50 | |
---|
| 51 | INTEGER :: i, j, k |
---|
| 52 | REAL :: vertical_gridspace |
---|
[20] | 53 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
---|
[1] | 54 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
---|
[19] | 55 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
---|
[1] | 56 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
---|
| 57 | |
---|
| 58 | DO i = nxl, nxr |
---|
| 59 | DO j = nys,nyn |
---|
| 60 | ! |
---|
| 61 | !-- Compute horizontal diffusion |
---|
[19] | 62 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
[1] | 63 | |
---|
| 64 | tend(k,j,i) = tend(k,j,i) & |
---|
| 65 | + 0.5 * ( & |
---|
| 66 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
| 67 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
| 68 | ) * ddx2 & |
---|
| 69 | + 0.5 * ( & |
---|
| 70 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
| 71 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
| 72 | ) * ddy2 |
---|
| 73 | ENDDO |
---|
| 74 | |
---|
| 75 | ! |
---|
| 76 | !-- Apply prescribed horizontal wall heatflux where necessary |
---|
| 77 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
---|
| 78 | THEN |
---|
| 79 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
---|
| 80 | |
---|
| 81 | tend(k,j,i) = tend(k,j,i) & |
---|
| 82 | + 0.5 * ( fwxp(j,i) * & |
---|
| 83 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
| 84 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
---|
| 85 | -fwxm(j,i) * & |
---|
| 86 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
| 87 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
---|
| 88 | ) * ddx2 & |
---|
| 89 | + 0.5 * ( fwyp(j,i) * & |
---|
| 90 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
| 91 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
---|
| 92 | -fwym(j,i) * & |
---|
| 93 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
| 94 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
---|
| 95 | ) * ddy2 |
---|
| 96 | ENDDO |
---|
| 97 | ENDIF |
---|
| 98 | |
---|
| 99 | ! |
---|
| 100 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
[19] | 101 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
| 102 | !-- nzb+2 or nzt-1, respectively. |
---|
| 103 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 104 | |
---|
| 105 | tend(k,j,i) = tend(k,j,i) & |
---|
| 106 | + 0.5 * ( & |
---|
| 107 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
| 108 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
| 109 | ) * ddzw(k) |
---|
| 110 | ENDDO |
---|
| 111 | |
---|
| 112 | ! |
---|
[19] | 113 | !-- Vertical diffusion at the first computational gridpoint along |
---|
[1] | 114 | !-- z-direction |
---|
| 115 | IF ( use_surface_fluxes ) THEN |
---|
| 116 | |
---|
| 117 | k = nzb_s_inner(j,i)+1 |
---|
| 118 | |
---|
| 119 | tend(k,j,i) = tend(k,j,i) & |
---|
| 120 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
---|
| 121 | * ( s(k+1,j,i)-s(k,j,i) ) & |
---|
| 122 | * ddzu(k+1) & |
---|
[19] | 123 | + s_flux_b(j,i) & |
---|
[1] | 124 | ) * ddzw(k) |
---|
| 125 | |
---|
| 126 | ENDIF |
---|
| 127 | |
---|
[19] | 128 | ! |
---|
| 129 | !-- Vertical diffusion at the last computational gridpoint along |
---|
| 130 | !-- z-direction |
---|
| 131 | IF ( use_top_fluxes ) THEN |
---|
| 132 | |
---|
| 133 | k = nzt |
---|
| 134 | |
---|
| 135 | tend(k,j,i) = tend(k,j,i) & |
---|
| 136 | + ( - s_flux_t(j,i) & |
---|
[20] | 137 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
---|
| 138 | * ( s(k,j,i)-s(k-1,j,i) ) & |
---|
| 139 | * ddzu(k) & |
---|
[19] | 140 | ) * ddzw(k) |
---|
| 141 | |
---|
| 142 | ENDIF |
---|
| 143 | |
---|
[1] | 144 | ENDDO |
---|
| 145 | ENDDO |
---|
| 146 | |
---|
| 147 | END SUBROUTINE diffusion_s |
---|
| 148 | |
---|
| 149 | |
---|
| 150 | !------------------------------------------------------------------------------! |
---|
| 151 | ! Call for grid point i,j |
---|
| 152 | !------------------------------------------------------------------------------! |
---|
[19] | 153 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
---|
| 154 | tend ) |
---|
[1] | 155 | |
---|
| 156 | USE control_parameters |
---|
| 157 | USE grid_variables |
---|
| 158 | USE indices |
---|
| 159 | |
---|
| 160 | IMPLICIT NONE |
---|
| 161 | |
---|
| 162 | INTEGER :: i, j, k |
---|
| 163 | REAL :: vertical_gridspace |
---|
[20] | 164 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
---|
[1] | 165 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
---|
[19] | 166 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
---|
[1] | 167 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
---|
| 168 | |
---|
| 169 | ! |
---|
| 170 | !-- Compute horizontal diffusion |
---|
[19] | 171 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
[1] | 172 | |
---|
| 173 | tend(k,j,i) = tend(k,j,i) & |
---|
| 174 | + 0.5 * ( & |
---|
| 175 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
| 176 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
| 177 | ) * ddx2 & |
---|
| 178 | + 0.5 * ( & |
---|
| 179 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
| 180 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
| 181 | ) * ddy2 |
---|
| 182 | ENDDO |
---|
| 183 | |
---|
| 184 | ! |
---|
| 185 | !-- Apply prescribed horizontal wall heatflux where necessary |
---|
| 186 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
---|
| 187 | THEN |
---|
| 188 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
---|
| 189 | |
---|
| 190 | tend(k,j,i) = tend(k,j,i) & |
---|
| 191 | + 0.5 * ( fwxp(j,i) * & |
---|
| 192 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
| 193 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
---|
| 194 | -fwxm(j,i) * & |
---|
| 195 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
| 196 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
---|
| 197 | ) * ddx2 & |
---|
| 198 | + 0.5 * ( fwyp(j,i) * & |
---|
| 199 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
| 200 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
---|
| 201 | -fwym(j,i) * & |
---|
| 202 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
| 203 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
---|
| 204 | ) * ddy2 |
---|
| 205 | ENDDO |
---|
| 206 | ENDIF |
---|
| 207 | |
---|
| 208 | ! |
---|
| 209 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
[19] | 210 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
| 211 | !-- nzb+2 or nzt-1, respectively. |
---|
| 212 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 213 | |
---|
| 214 | tend(k,j,i) = tend(k,j,i) & |
---|
| 215 | + 0.5 * ( & |
---|
| 216 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
| 217 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
| 218 | ) * ddzw(k) |
---|
| 219 | ENDDO |
---|
| 220 | |
---|
| 221 | ! |
---|
[19] | 222 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
---|
[1] | 223 | IF ( use_surface_fluxes ) THEN |
---|
| 224 | |
---|
| 225 | k = nzb_s_inner(j,i)+1 |
---|
| 226 | |
---|
[19] | 227 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
---|
| 228 | * ( s(k+1,j,i)-s(k,j,i) ) & |
---|
| 229 | * ddzu(k+1) & |
---|
| 230 | + s_flux_b(j,i) & |
---|
| 231 | ) * ddzw(k) |
---|
[1] | 232 | |
---|
| 233 | ENDIF |
---|
| 234 | |
---|
[19] | 235 | ! |
---|
| 236 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
---|
| 237 | IF ( use_top_fluxes ) THEN |
---|
| 238 | |
---|
| 239 | k = nzt |
---|
| 240 | |
---|
| 241 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
---|
| 242 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
---|
| 243 | * ( s(k,j,i)-s(k-1,j,i) ) & |
---|
| 244 | * ddzu(k) & |
---|
| 245 | ) * ddzw(k) |
---|
| 246 | |
---|
| 247 | ENDIF |
---|
| 248 | |
---|
[1] | 249 | END SUBROUTINE diffusion_s_ij |
---|
| 250 | |
---|
| 251 | END MODULE diffusion_s_mod |
---|